If the function f(x)=(x+3)2 is reflected over the x-axis, then how does the reflection affect the point (2,25)?(1 point)

Responses

In the reflection, the point (2,25) becomes (−2,25).
In the reflection, the point  left parenthesis 2 comma 25 right parenthesis becomes left parenthesis negative 2 comma 25 right parenthesis .

In the reflection, the point (2,25) becomes (2,−125).
In the reflection, the point  left parenthesis 2 comma 25 right parenthesis becomes left parenthesis 2 comma negative125 right parenthesis .

In the reflection, the point (2,25) becomes (2,−25).
In the reflection, the point  left parenthesis 2 comma 25 right parenthesis becomes left parenthesis 2 comma negative 25 right parenthesis .

In the reflection, the point (2,25) becomes (−2,−25).

1 answer

When a point is reflected over the x-axis, the x-coordinate remains the same, while the y-coordinate changes sign.

Given the point (2, 25):

  • The x-coordinate is 2, which will stay the same after reflection.
  • The y-coordinate is 25, which will change to -25.

Therefore, after reflecting the point (2, 25) over the x-axis, it becomes (2, -25).

The correct response is:

In the reflection, the point (2,25) becomes (2,−25).